125968584 has 64 divisors (see below), whose sum is σ = 361405440. Its totient is φ = 35841600.

The previous prime is 125968561. The next prime is 125968597. The reversal of 125968584 is 485869521.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42759 + ... + 45609.

It is an arithmetic number, because the mean of its divisors is an integer number (5646960).

Almost surely, 2^125968584 is an apocalyptic number.

125968584 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125968584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180702720).

125968584 is an abundant number, since it is smaller than the sum of its proper divisors (235436856).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

125968584 is a wasteful number, since it uses less digits than its factorization.

125968584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3130 (or 3126 counting only the distinct ones).

The product of its digits is 691200, while the sum is 48.

The square root of 125968584 is about 11223.5726932203. The cubic root of 125968584 is about 501.2881239569.

The spelling of 125968584 in words is "one hundred twenty-five million, nine hundred sixty-eight thousand, five hundred eighty-four".